Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x + 12 g(x) = −9.5x − 13 select one: a. x = −2 b. x = −3 c. x = 4 d. x = 5

a. x = −2

Step-by-step explanation:

f(x) = g(x)

Substitute the functions in

3x+12 = -9.5x -13

Add 9.5x to each side

3x+9.5x+12 = -9.5x+9.5x -13

12.5x +12 = -13

Subtract 12 from each side

12.5x+12-12 = -13-12

12.5x = -25

Divide by 12.5

12.5x/12.5 = -25/12.5

x = -2

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb